In a thermodynamic system ' Δ U ' represents the increase in internal energy and ' W ' the work done by the system. Which of the following statement is true? (a) Δ U = -W in an adiabatic process. (b) Δ U = W in an isothermal process. (c) Δ U = -W in an isothermal process. (d) Δ U = W in an adiabatic process.

Answer: (a). First law: Q = Δ U + W. Adiabatic: Q = 0 ⇒ Δ U = -W. Isothermal (ideal gas): Δ U = 0, so (b) and (c) fail. So the answer is (a).

In a thermodynamic system ' Δ U ' represents the increase in internal… | MHT CET 2024 (10 May, Shift 2)

Q94MHT CET 2024 · 10 MAY · SHIFT 2Easy

Thermodynamic Processes

In a thermodynamic system ' $\Delta U$ ' represents the increase in internal energy and ' $W$ ' the work done by the system. Which of the following statement is true?

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Answer: (a)

First law: $Q = \Delta U + W$ .
Adiabatic: $Q = 0 \Rightarrow \Delta U = -W$ .
Isothermal (ideal gas): $\Delta U = 0$ , so (b) and (c) fail.
So the answer is (a).

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